Analysis of Colorful Bubbles

A different post generated a 1,000 year simulation of the lives of colorful Bubbles given some set parameter. Here was the result:

Colorful Bubbles animation

Analysis

Summary Statistics

Observed Lifespan

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max_age<-tree_dat %>% 
  group_by(tree) %>% 
  filter(age==max(age)) 
median_age<-round(median(max_age$age))

max_age %>% 
  ggplot()+
  geom_histogram(aes(x=age),binwidth = 1)+
  # geom_text(data=NULL,x=median_age,y=Inf,label=paste("Median Age:\n",median_age))+
  theme_minimal()+
  scale_y_continuous(labels = scales::comma)+
  geom_vline(xintercept = median_age,color="red",linetype=2)+
  labs(x="Age",y="Count of trees by age at death")

Population over time

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tree_dat %>%
  group_by(year) %>%
  summarise(trees=n_distinct(tree)) %>%
  ggplot()+
  geom_line(aes(x=year,y=trees))+
  geom_hline(yintercept = 0,color=NA)+
  theme_minimal()+
  scale_x_continuous(labels = scales::comma)+
  labs(y="Colorful Bubbles",x="Year")

Common Colors

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tree_dat %>% 
  ungroup() %>% 
  mutate(primary_color=case_when(
    green>blue&green>red~"Green",
    blue>=green&blue>red~"Blue",
    red>=green&red>=blue~"Red"
  )) %>% 
  ggplot()+
  geom_bar(aes(x=year,fill=primary_color),width = 1,position = "fill")+
  scale_fill_manual(values = c("blue","green3","red"))+
  scale_x_continuous(labels = scales::comma)+
  scale_y_continuous(labels = scales::percent)+
  theme_minimal()+
  labs(x="Year",y="Percent of Trees",fill="Predominant Color")+
  theme(legend.position = 'bottom')

Colors over time

Show code

common_color<-tree_dat %>% 
  group_by(year) %>% 
  summarise(
    n=n(),
    colors=n_distinct(color),
    red=mean(red),
    blue=mean(blue),
    green=mean(green)
    ) %>% 
  arrange(-year)
common_color$color<-rgb(common_color$red,common_color$green,common_color$blue)

common_color %>% 
  ggplot()+
  geom_col(aes(x=year,y=colors/n*100,fill=color),width=1)+
  guides(fill='none')+
  scale_fill_manual(values = unique(common_color$color))+
  scale_x_continuous(labels = scales::comma)+
  theme_minimal()+
  labs(x="Year",y="Unique colors per 100 trees")

Show code

common_color %>% 
  pivot_longer(red:green) %>% 
  ggplot()+
  geom_line(aes(x=year,y=value,color=stringr::str_to_title(name)))+
  scale_color_manual(values = c("blue","green3","red"))+
  labs(x="Year",y="Average Saturation of Color",color="Color")+
  scale_y_continuous(labels = scales::percent)+
  scale_x_continuous(labels = scales::comma)+
  theme_minimal()+
  theme(
    legend.position = "bottom"
  )

Common Locations

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tree_dat %>% 
  ggplot()+
  geom_bin2d(aes(x=x,y=y))+
  scale_fill_viridis_c(labels=scales::comma)+
  theme_void()+
  theme(legend.position = 'bottom')+
  coord_fixed()+
  labs(fill="Count of Colorful Bubbles")

Survival Analysis

Show code

library(survival)
library(survminer)

max_age_color<-max_age %>% 
  group_by(tree) %>% 
  filter(age==max(age)) %>% 
  ungroup() %>% 
  mutate(primary_color=case_when(
    green>blue&green>red~"Green",
    blue>=green&blue>red~"Blue",
    red>=green&red>=blue~"Red"
  ))

km=survfit(Surv(max_age_color$age,rep(1,nrow(max_age_color)))~max_age_color$primary_color)

ggsurvplot(fit=km, data=max_age_color,palette=c("blue","green3","red"),
           legend = "bottom", 
           legend.title = "Predominant Color",
           legend.labs = c("Blue", "Green","Red"),
risk.table = F,conf.int=F) +
    labs(
        title="Survival Curve for Colorful Bubbles",
        x="Years"
    )